TOM-based blind identification of cubic nonlinear systems

In this paper, we extend our previous studies on blind cubic nonlinear system identification from the second-order moment (SOM) domain into the third-order moment (TOM) domain. It is shown that under the given sufficient conditions, more subsets of truncated sparse Volterra systems can be blindly identified using TOM instead of SOM. This is consistent with the fact that more statistical knowledge can be obtained in the third-order statistics domain for blind system identification. Simulation results confirm the validity and usefulness of our proposed algorithm.